This book provides a comprehensive knowledge of linear algebra for graduate and undergraduate courses. As a self-contained text, it aims at covering all important areas of the subject, including algebraic structures, matrices and systems of linear equations, vector spaces, linear transformations, dual and inner product spaces, canonical, bilinear, quadratic, sesquilinear, Hermitian forms of operators and tensor products of vector spaces with their algebras. The last three chapters focus on...

Mohammad Ashraf Uddin (Born 12-01-2001) is a Bangladeshi musical artist. entrepreneur, writer. Aged 20, he was born and brought up in Dhaka, He is also social media expert.Aged 20, he was born and brought up in Dhaka, Bangladesh. Introduced to the music industry lunch the first album "Hip-hop Dreams" on different music platforms like Spotify, Google play music, Apple music, I-tunes, Amazon music, Jiosaavn, Deezer.Ashraf is a young talented Musician. At the age of 18, he sho...

Ongoing progress in modern technology has led to vital advancements in artificial knowledge. With the numerous applications available, it becomes imperative to conduct analysis and make further progress in this field. Artificial Intelligence: Concepts, Methodologies, Tools, and Applications provides a comprehensive overview of the latest breakthroughs and recent progress in artificial intelligence. Highlighting relevant technologies, uses, and techniques over various activities and setting...

Current and Emerging Concepts of Polycystic Ovary Syndrome Manual from M.P. PCOS Society is a comprehensive and authoritative guide that explores the multifaceted nature of PCOS, redefining the understanding, diagnosis, and management of Polycystic Ovary Syndrome (PCOS).Drawing upon cross-disciplinary insights and multi-institutional expertise, this two-part series unravels its epidemiology, diagnostic complexities, and phenotypic diversity. It dives deep into hormonal, metabolic, ...

Current and Emerging Concepts of Polycystic Ovary Syndrome – Manual from M.P. PCOS Society is a comprehensive and authoritative guide that explores the multifaceted nature of PCOS, redefining the understanding, diagnosis, and management of Polycystic Ovary Syndrome (PCOS). Drawing upon cross-disciplinary insights and multi-institutional expertise, this two part series unravels its epidemiology, diagnostic complexities, and phenotypic diversity. It dives deep into hormonal, metabolic, genet...

This volume contains selected chapters on algebra and related topics presented at the International Conference on Algebra and its Applications, held at the Department of Mathematics, Faculty of Science and Technology, Sidi Mohamed Ben Abdellah University, Fez, Morocco, from 12–15 July 2023, held in honour of Prof. Ayman Badawi and Prof. Abdelmoujib Benkirane. It contains a cross-section of topics in algebra and its applications which contribute to the development of pure and applied algebr...

The theory of differential identities in associative rings and algebras is the basis of this monograph. Informally, an identical relation involving arbitrary elements in the underlying rings (or algebras) along with the unknown differential function is called a differential identity in a ring (or algebra). Invariant theory, non-commutative geometry, mathematical physics, and the theory of rings and algebras are just a few of the fields where this abstract theory has proved to be an effecti...

This book is a collection of selected research papers, some of which were presented at the International Conference on Differential Geometry, Algebra and Analysis (ICDGAA 2016), held at the Department of Mathematics, Jamia Millia Islamia, New Delhi, from 15–17 November 2016. It covers a wide range of topics—geometry of submanifolds, geometry of statistical submanifolds, ring theory, module theory, optimization theory, and approximation theory—which exhibit new ideas and methodologies for c...

Nowadays embedded and real-time systems contain complex software. The complexity of embedded systems is increasing, and the amount and variety of software in the embedded products are growing. This creates a big challenge for embedded and real-time software development processes and there is a need to develop separate metrics and benchmarks.“Embedded and Real Time System Development: A Software Engineering Perspective: Concepts, Methods and Principles” presents practical a...

The eruption in the early 1990s of highly visible humanitarian crises and exceedingly bloody civil wars in the Horn of Africa, imploding Yugoslavia, and Rwanda, set in motion a trend towards third party intervention in communal conflict in areas as far apart as the Balkans and East Timor. However haltingly and selectively, that trend towards extra-systemic means of managing ethnic and national conflict is still discernible, motivated as it was in the 1990s by the inability of in-house acco...

This book clarifies some misunderstandings about money by tying the concept of money to the goods and services sector of the economy. In addition, it demystifies the process of money creation on the part of central banks.The phenomenon of money is ubiquitous; it has been around for tens of thousands of years, if not longer. Indeed, no modern economy could function without money. For many, however, the concept of money remains elusive. Worse still, misinformation a...

Mohammad Ashraf Uddin, professionally known as a musical artist, Entrepreneur, Digital Marketer, Writer, Influencer & internet personality. He was born in 2001 in, Dhaka, Bangladesh.